Precalculus Examples

$h (x) = 4 x - 2$ ; Find $h (x + 2)$

Step 1

Replace the variable $x$ with $x + 2$ in the expression.

$h (x + 2) = 4 (x + 2) - 2$

Step 2

Simplify $4 (x + 2) - 2$ .

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Step 2.1

Remove parentheses.

$4 (x + 2) - 2$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$4 x + 4 \cdot 2 - 2$

Step 2.2.2

Multiply $4$ by $2$ .

$4 x + 8 - 2$

Step 2.3

Subtract $2$ from $8$ .

$4 x + 6$